Information on Result #521546
There is no (54, 171, 176)-net in base 3, because extracting embedded orthogonal array would yield OA(3171, 176, S3, 117), but
- the (dual) Plotkin bound shows that M ≥ 313487 028995 334947 898311 636710 352105 968826 343219 733319 851858 295246 737190 712070 115307 / 59 > 3171 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (54, 172, 176)-net in base 3 | [i] | m-Reduction | |
| 2 | No (54, 173, 176)-net in base 3 | [i] | ||
| 3 | No (54, 174, 176)-net in base 3 | [i] | ||
| 4 | No (54, 175, 176)-net in base 3 | [i] | ||
| 5 | No (54, 176, 176)-net in base 3 | [i] | ||
| 6 | No (54, 177, 176)-net in base 3 | [i] | ||
| 7 | No (54, 178, 176)-net in base 3 | [i] | ||
| 8 | No (54, 179, 176)-net in base 3 | [i] | ||
| 9 | No (54, 180, 176)-net in base 3 | [i] | ||
| 10 | No (54, 181, 176)-net in base 3 | [i] | ||
| 11 | No (54, 182, 176)-net in base 3 | [i] | ||
| 12 | No (54, 183, 176)-net in base 3 | [i] | ||
| 13 | No (54, 184, 176)-net in base 3 | [i] | ||
| 14 | No (54, 185, 176)-net in base 3 | [i] | ||
| 15 | No (54, 186, 176)-net in base 3 | [i] | ||
| 16 | No (54, 187, 176)-net in base 3 | [i] | ||
| 17 | No (54, 188, 176)-net in base 3 | [i] | ||
| 18 | No (54, 189, 176)-net in base 3 | [i] | ||
| 19 | No (54, 190, 176)-net in base 3 | [i] | ||
| 20 | No (54, 191, 176)-net in base 3 | [i] | ||
| 21 | No (54, 192, 176)-net in base 3 | [i] | ||
| 22 | No (54, 193, 176)-net in base 3 | [i] | ||
| 23 | No (54, 194, 176)-net in base 3 | [i] | ||
| 24 | No (54, 195, 176)-net in base 3 | [i] | ||
| 25 | No (54, 196, 176)-net in base 3 | [i] | ||
| 26 | No (54, 197, 176)-net in base 3 | [i] | ||
| 27 | No (54, 198, 176)-net in base 3 | [i] | ||
| 28 | No (54, 199, 176)-net in base 3 | [i] | ||
| 29 | No (54, 200, 176)-net in base 3 | [i] | ||
| 30 | No (54, 201, 176)-net in base 3 | [i] | ||
| 31 | No (54, 202, 176)-net in base 3 | [i] | ||
| 32 | No (54, 203, 176)-net in base 3 | [i] | ||
| 33 | No (54, 204, 176)-net in base 3 | [i] | ||
| 34 | No (54, 205, 176)-net in base 3 | [i] | ||
| 35 | No (54, 206, 176)-net in base 3 | [i] | ||
| 36 | No (54, 207, 176)-net in base 3 | [i] | ||
| 37 | No (54, 208, 176)-net in base 3 | [i] | ||
| 38 | No (54, 209, 176)-net in base 3 | [i] | ||
| 39 | No (54, 210, 176)-net in base 3 | [i] | ||
| 40 | No (54, 211, 176)-net in base 3 | [i] | ||
| 41 | No (54, 212, 176)-net in base 3 | [i] | ||
| 42 | No (54, 213, 176)-net in base 3 | [i] | ||
| 43 | No (54, 214, 176)-net in base 3 | [i] | ||
| 44 | No (54, 215, 176)-net in base 3 | [i] | ||
| 45 | No (54, 216, 176)-net in base 3 | [i] | ||
| 46 | No (54, 217, 176)-net in base 3 | [i] | ||
| 47 | No (54, 218, 176)-net in base 3 | [i] | ||
| 48 | No (54, 219, 176)-net in base 3 | [i] | ||
| 49 | No (54, 220, 176)-net in base 3 | [i] | ||
| 50 | No (54, 221, 176)-net in base 3 | [i] | ||
| 51 | No (54, 222, 176)-net in base 3 | [i] | ||
| 52 | No (54, 223, 176)-net in base 3 | [i] | ||
| 53 | No (54, 224, 176)-net in base 3 | [i] | ||
| 54 | No (54, 225, 176)-net in base 3 | [i] | ||
| 55 | No (54, 226, 176)-net in base 3 | [i] | ||
| 56 | No (54, 227, 176)-net in base 3 | [i] | ||
| 57 | No (54, 228, 176)-net in base 3 | [i] | ||
| 58 | No (54, 229, 176)-net in base 3 | [i] | ||
| 59 | No (54, 230, 176)-net in base 3 | [i] | ||
| 60 | No (54, 231, 176)-net in base 3 | [i] | ||
| 61 | No (54, 232, 176)-net in base 3 | [i] | ||
| 62 | No (54, 233, 176)-net in base 3 | [i] | ||
| 63 | No (54, 234, 176)-net in base 3 | [i] | ||
| 64 | No (54, 235, 176)-net in base 3 | [i] | ||
| 65 | No (54, 236, 176)-net in base 3 | [i] | ||
| 66 | No (54, 237, 176)-net in base 3 | [i] | ||
| 67 | No (54, 238, 176)-net in base 3 | [i] | ||
| 68 | No (54, 239, 176)-net in base 3 | [i] | ||
| 69 | No (54, 240, 176)-net in base 3 | [i] | ||
| 70 | No (54, 241, 176)-net in base 3 | [i] | ||
| 71 | No (54, 242, 176)-net in base 3 | [i] | ||
| 72 | No (54, 243, 176)-net in base 3 | [i] | ||
| 73 | No (54, 244, 176)-net in base 3 | [i] | ||
| 74 | No (54, 245, 176)-net in base 3 | [i] | ||
| 75 | No (54, 246, 176)-net in base 3 | [i] | ||
| 76 | No (54, 247, 176)-net in base 3 | [i] | ||
| 77 | No (54, 248, 176)-net in base 3 | [i] | ||
| 78 | No (54, 249, 176)-net in base 3 | [i] | ||
| 79 | No (54, 250, 176)-net in base 3 | [i] | ||